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Finding the Third Proportional to 12.72 and 23.03

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Solution

The third proportional to 12.72 and 23.03 is: 41.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.72 : 23.03 = 23.03 : x
  2. Step 2: Convert to fraction form
    12.72/23.03 = 23.03/x
  3. Step 3: Cross multiply
    12.72x = 23.03 × 23.03
  4. Step 4: Simplify right side
    12.72x = 530.44
  5. Step 5: Solve for x
    x = 530.44/12.72
  6. Step 6: Final answer
    x = 41.71

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.